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Sergey Dolgov
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Alternating minimal energy methods for linear systems in higher dimensions
SV Dolgov, DV Savostyanov
SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014
3372014
Solution of linear systems and matrix inversion in the TT-format
S Dolgov, IV Oseledets
SIAM J. Sci. Comput. 34 (5), A2718-A2739, 2011
241*2011
FAST SOLUTION OF PARABOLIC PROBLEMS IN THE TENSOR TRAIN/QUANTIZED TENSOR TRAIN FORMAT WITH INITIAL APPLICATION TO THE FOKKER–PLANCK EQUATION
SV DOLGOV, BN KHOROMSKIJ, IV OSELEDETS
SIAM J. of Sci. Comp. 34 (6), A3016-A3038, 2012
169*2012
Computation of extreme eigenvalues in higher dimensions using block tensor train format
SV Dolgov, BN Khoromskij, IV Oseledets, DV Savostyanov
Computer Physics Communications, 2014
1302014
Tensor decomposition methods for high-dimensional Hamilton--Jacobi--Bellman equations
S Dolgov, D Kalise, KK Kunisch
SIAM Journal on Scientific Computing 43 (3), A1625-A1650, 2021
1252021
Simultaneous state‐time approximation of the chemical master equation using tensor product formats
S Dolgov, B Khoromskij
Numerical Linear Algebra with Applications 22 (2), 197-219, 2015
122*2015
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format
S Dolgov, BN Khoromskij, A Litvinenko, HG Matthies
SIAM/ASA Journal on Uncertainty Quantification 3 (1), 1109-1135, 2015
116*2015
TT-GMRES: solution to a linear system in the structured tensor format
SV Dolgov
Russian Journal of Numerical Analysis and Mathematical Modelling 28 (2), 149-172, 2013
1042013
Superfast Fourier transform using QTT approximation
S Dolgov, B Khoromskij, D Savostyanov
Journal of Fourier Analysis and Applications 18 (5), 915-953, 2011
97*2011
A quantum-inspired approach to exploit turbulence structures
N Gourianov, M Lubasch, S Dolgov, QY van den Berg, H Babaee, P Givi, ...
Nature Computational Science 2 (1), 30-37, 2022
942022
TT-toolbox
IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ...
URL: http://oseledets. github. io/software, 2016
94*2016
Approximation and sampling of multivariate probability distributions in the tensor train decomposition
S Dolgov, K Anaya-Izquierdo, C Fox, R Scheichl
Statistics and Computing 30, 603-625, 2020
882020
Two-level QTT-Tucker format for optimized tensor calculus
S Dolgov, B Khoromskij
SIAM Journal on Matrix Analysis and Applications 34 (2), 593-623, 2013
74*2013
Parallel cross interpolation for high-precision calculation of high-dimensional integrals
S Dolgov, D Savostyanov
Computer Physics Communications 246, 106869, 2020
722020
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data
P Benner, S Dolgov, A Onwunta, M Stoll
652015
Fast tensor product solvers for optimization problems with fractional differential equations as constraints
S Dolgov, JW Pearson, DV Savostyanov, M Stoll
482014
Parallel time-dependent variational principle algorithm for matrix product states
P Secular, N Gourianov, M Lubasch, S Dolgov, SR Clark, D Jaksch
Physical Review B 101 (23), 235123, 2020
462020
Exact NMR simulation of protein-size spin systems using tensor train formalism
DV Savostyanov, SV Dolgov, JM Werner, I Kuprov
Physical Review B 90 (8), 085139, 2014
452014
A hybrid alternating least squares--TT-cross algorithm for parametric PDEs
S Dolgov, R Scheichl
SIAM/ASA Journal on Uncertainty Quantification 7 (1), 260-291, 2019
412019
Deep composition of Tensor-Trains using squared inverse Rosenblatt transports
T Cui, S Dolgov
Foundations of Computational Mathematics 22 (6), 1863-1922, 2022
382022
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